Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 544, 320, 627, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 544, 320, 627, 267 is 1
GCD(544, 320, 627, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 544, 320, 627, 267 is 1
GCD(544, 320, 627, 267) = 1
Given Input numbers are 544, 320, 627, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 544, 320, 627, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 320, 627, 267 is 1.
Therefore, GCD of numbers 544, 320, 627, 267 is 1
Given Input Data is 544, 320, 627, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 267 is 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(544, 320) = 5440
GCD(544, 320) = ( 544 x 320 ) / 5440
GCD(544, 320) = 174080 / 5440
GCD(544, 320) = 32
Step2:
Here we consider the GCD from the above i.e. 32 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(32, 627) = 20064
GCD(32, 627) = ( 32 x 627 ) / 20064
GCD(32, 627) = 20064 / 20064
GCD(32, 627) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 544, 320, 627, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 544, 320, 627, 267?
GCD of 544, 320, 627, 267 is 1
2. Where do I get the detailed procedure to find GCD of 544, 320, 627, 267?
You can find a detailed procedure to find GCD of 544, 320, 627, 267 on our page.
3. How to find GCD of 544, 320, 627, 267 on a calculator?
You can find the GCD of 544, 320, 627, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.